Question

What's that process called where you form new group law by $x \star y = x \cdot a \cdot y$ for some $a$ in the group?

score 112 · Answer 1 · 2018-04-11 05:20:21

112

Views

What's that process called where you form new group law by $x \star y = x \cdot a \cdot y$ for some $a$ in the group?

Published on 11 Apr 2018 - 5:20

score 45 · Answer 2 · 2018-04-12 19:14:53

45

Views

Is such a condition possible for the provided group?

Published on 12 Apr 2018 - 19:14

score 243 · Answer 3 · 2018-04-12 20:16:34

243

Views

Can this equation be solved by radicals? $x^6+x^5+2x^4-2x^3-x^2+1=0$

Published on 12 Apr 2018 - 20:16

score 341 · Answer 4 · 2018-04-12 20:34:58

341

Views

If $\forall x \in G$ where G is a group $x=x^{-1}$ then how is this group abelian?

Published on 12 Apr 2018 - 20:34

score 66 · Answer 5 · 2026-03-23 00:27:51

66

Views

When flat submodule is direct summand?

Published on 23 Mar 2026 - 0:27

score 133 · Answer 6 · 2018-04-16 19:29:29

133

Views

Showing a group is abelian of order $\det(M)$

Published on 16 Apr 2018 - 19:29

score 413 · Answer 7 · 2018-04-17 00:57:59

413

Views

Prove that $\sum_{a\in A} φ(a)=0$ where $A$ is finite Abelian group.

Published on 17 Apr 2018 - 0:57

score 81 · Answer 8 · 2018-04-18 11:20:43

81

Views

Order of an arbitrary (finite) product of subgroups $|N_1\cdots N_k|$

Published on 18 Apr 2018 - 11:20

score 417 · Answer 9 · 2026-03-22 08:39:57

417

Views

Show that the infinite cyclic group is not isomorphic to a direct product of two nontrivial cyclic groups.

Published on 22 Mar 2026 - 8:39

score 36 · Answer 10 · 2018-04-19 18:39:47

36

Views

Fields with the property $\Bbb{F}^\times / \{1, -1\}$ is isomorphic to a subgroup of $\Bbb{F}^\times$.

Published on 19 Apr 2018 - 18:39

score 251 · Answer 11 · 2026-03-25 08:00:43

251

Views

A set of generators is a $\mathbb{Z}-$basis for a free abelian group

Published on 25 Mar 2026 - 8:00

score 72 · Answer 12 · 2018-04-21 04:41:03

72

Views

Prove that $f(N)$ is a direct summand

Published on 21 Apr 2018 - 4:41

score 1.7k · Answer 13 · 2018-04-21 18:37:36

1.7k

Views

Finite abelian group generated by two elements

Published on 21 Apr 2018 - 18:37

score 279 · Answer 14 · 2026-03-22 01:29:48

279

Views

Nonabelian group of order 95

Published on 22 Mar 2026 - 1:29

score 104 · Answer 15 · 2018-04-22 08:44:49

104

Views

When abelian subgroup is direct summand?

Published on 22 Apr 2018 - 8:44

List Question

What's that process called where you form new group law by $x \star y = x \cdot a \cdot y$ for some $a$ in the group?

Is such a condition possible for the provided group?

Can this equation be solved by radicals? $x^6+x^5+2x^4-2x^3-x^2+1=0$

If $\forall x \in G$ where G is a group $x=x^{-1}$ then how is this group abelian?

When flat submodule is direct summand?

Showing a group is abelian of order $\det(M)$

Prove that $\sum_{a\in A} φ(a)=0$ where $A$ is finite Abelian group.

Order of an arbitrary (finite) product of subgroups $|N_1\cdots N_k|$

Show that the infinite cyclic group is not isomorphic to a direct product of two nontrivial cyclic groups.

Fields with the property $\Bbb{F}^\times / \{1, -1\}$ is isomorphic to a subgroup of $\Bbb{F}^\times$.

A set of generators is a $\mathbb{Z}-$basis for a free abelian group

Prove that $f(N)$ is a direct summand

Finite abelian group generated by two elements

Nonabelian group of order 95

When abelian subgroup is direct summand?

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